The hyper-complex Fourier transform(FT) is of the great interest in the present era. It treats multi-channel signals as an algebraic whole without losing the spectral relations. Presently, many hyper-complex FTs exists in literature which are defined by different approaches, see [1]}, [2]}. The developing interest in hyper-complex FTs including applications in watermarking, color image processing, image filtering, pattern recognition and edge detection [3]}-[4]}. Among the various hyper-complex FTs, the most basic ones are the quaternion Fourier transforms(QFTs). QFTs are most widely studied in recent years because of its wide applications in optics and signal processing. Various properties and applications of the QFT were established in [5]}-[6]}. The generalization of quaternion Fourier transform (QFT)is quaternion linear canonical transform (QLCT), which is more effective signal processing tool than QFT due to its extra parameters, see[7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}. Later, the quaternion linear canonical transform (QLCT) with four parameters has been generalized to short-time quaternion linear canonical transform (STQLCT) [14]}. It is useful in quaternion valued signals and is an alternative to 2D complex STLCT. Hence has found wide applications in image and signal processing, see [15]}, [16]}, [17]}, [18]}.
